A professor is trying to determine the likelihood of a student passing a statistics course (binary response variable y = 1 if the student passes) given the number of hours studied in a week (x1) and the number of hours playing video games in a week (x2). The following table contains the parameter estimates of the linear probability regression model (LPM) and the logistic regression model, with the associated p-values shown in parentheses. Variable Intercept LPM -0.50 Logistic -2.10 (0.06) (0.04) 0.35 x2 (0.04) -0.04 (0.01) 0.88 (0.07) -0.20 (0.04) a. What is the predicted probability of passing the class implied by the linear probability model for x1=5 with x2 equal to 10 and 23? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Do not adjust your answer if it is greater than 1 or less than 0.) x 5, x2 10 x5, x23 b. What is the predicted probability of passing the class implied by the logistic model for x1 = 5 with x2 equal to 10 and 23? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) x=5, x 10 x = 5, x=23